Unsolved problems in number theory are deep questions and conjectures about integers and their properties that have not yet been resolved. Some of the most famous unsolved problems in this field include: 1. **The Riemann Hypothesis**: This conjecture concerns the distribution of the zeros of the Riemann zeta function and has profound implications for the distribution of prime numbers.
In number theory, theorems are established propositions that are proven to be true based on previously accepted statements, such as axioms and previously proven theorems. Number theory itself is a branch of mathematics that deals with the properties and relationships of numbers, especially integers.
In the context of Wikipedia and other collaborative online encyclopedias, a "stub" is a type of article that is considered incomplete or lacking in detail. A "Number theory stub" specifically refers to a very brief article related to the field of number theory—a branch of pure mathematics devoted to the study of the integers and their properties. Stubs typically provide only basic information or a limited overview of the topic, and they are often marked with a template indicating that they need expansion.
Number theorists are mathematicians who specialize in the field of number theory, which is a branch of pure mathematics focused on the study of the properties and relationships of integers. Number theory encompasses a variety of topics, including: 1. **Prime Numbers**: Study of prime numbers, including their distribution, properties, and related theorems (such as the Prime Number Theorem).
Diophantine equations are a class of polynomial equations for which we seek integer solutions. Named after the ancient Greek mathematician Diophantus, these equations are typically of the form: \[ P(x_1, x_2, ..., x_n) = 0 \] where \( P \) is a polynomial with integer coefficients, and \( x_1, x_2, ..., x_n \) are unknown variables that we want to solve for in the integers.
Not end-to-end encrypted by default, WTF... you have to create "secret chats" for that:
You can't sync secret chats across devices, Signal handles that perfectly by sending E2EE messages across devices:This is a deal breaker because Ciro needs to type with his keyboard.
Desktop does not have secret chats: www.reddit.com/r/Telegram/comments/9beku1/telegram_desktop_secret_chat/ This is likey because it does not store chats locally, it just loads from server every time as of 2019: www.reddit.com/r/Telegram/comments/baqs63/where_are_chats_stored_on_telegram_desktop/ just like the web version. So it cannot have a private key.
Allows you to register a public username and not have to share phone number with contacts: telegram.org/blog/usernames-and-secret-chats-v2.
Self deleting messages added to secret chats in Q1 2021: telegram.org/blog/autodelete-inv2
Can delete messages from the device of the person you sent it to, no matter how old.
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. 
- Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact